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Quarterly Results of Operations (Unaudited) - Summary of Statements of Cash Flows (Details) - USD ($)
$ in Thousands
 3 Months Ended 6 Months Ended 9 Months Ended 12 Months Ended
Dec. 31, 2020
Sep. 30, 2020
Jun. 30, 2020
Mar. 31, 2020
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Jun. 30, 2020
Sep. 30, 2020
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
CASH FLOWS FROM OPERATING ACTIVITIES:                          
Consolidated net income (loss) $ (12,744) $ 9,904 $ 39,273 $ 20,169 $ (33,475) $ (1,553) $ 22,307 $ 84,974 $ 59,442 $ 69,346 $ 56,602 $ 72,253 $ 286,610
Adjustments to reconcile consolidated net income (loss) to net cash provided by (used in) operating activities:                          
Impairment of fixed assets, intangible assets and investments                 7,632   9,396 4,466 2,807
Deferred tax provision (benefit)       2,686         2,622 6,798 (16,549) (4,196) (23,737)
Consolidated net income (loss), adjusted for non-cash and non-operating items       107,658         213,261 298,498 395,296 338,157 325,895
Decrease (increase) in operating assets:                          
Accrued commissions receivable, net       (60,582)         50,660 91,814 44,389 (22,287) (108,851)
Other assets       (7,928)         2,116 (15,099) (20,070) 5,239 (25,343)
Increase (decrease) in operating liabilities:                          
Accounts payable, accrued and other liabilities       (44,770)         (78,249) (39,488) 57,791 (17,878) 51,003
Net cash provided by (used in) operating activities       (71,594)         73,027 141,535      
CASH FLOWS FROM INVESTING ACTIVITIES:                          
Net cash provided by (used in) investing activities       (18,383)         (42,929) (64,749)      
CASH FLOWS FROM FINANCING ACTIVITIES:                          
Net cash provided by (used in) financing activities       124,721         35,074 29,830      
Effect of exchange rate changes on Cash and cash equivalents, and Cash segregated under regulatory requirements       (13,496)         (14,286) (6,197) 993 2,630 (10,838)
Net increase (decrease) in Cash and cash equivalents, and Cash segregated under regulatory requirements       21,248         50,886 100,419 214,563 219,336 (380,012)
Cash and cash equivalents, and Cash segregated under regulatory requirements at beginning of period 736,533 687,000 657,362 636,114       416,778 636,114 636,114 636,114 416,778 796,790
Cash and cash equivalents, and Cash segregated under regulatory requirements at end of period 850,677 736,533 687,000 657,362 636,114       687,000 736,533 850,677 636,114 416,778
As Reported [Member]                          
CASH FLOWS FROM OPERATING ACTIVITIES:                          
Consolidated net income (loss)   24,930 39,559 21,032 (26,556) 2,560 21,765 87,174 60,591 85,521   84,943 279,866
Adjustments to reconcile consolidated net income (loss) to net cash provided by (used in) operating activities:                          
Impairment of fixed assets, intangible assets and investments                 7,485        
Deferred tax provision (benefit)       786         722 (1,202)   (1,803) (22,635)
Consolidated net income (loss), adjusted for non-cash and non-operating items       106,621         212,363 306,673   343,605 324,291
Decrease (increase) in operating assets:                          
Accrued commissions receivable, net       (59,682)         51,560 92,714   (12,418)  
Other assets       7,698         8,924 (14,782)   3,784 (30,924)
Increase (decrease) in operating liabilities:                          
Accounts payable, accrued and other liabilities       (60,259)         (85,059) (48,880)   (34,840) 63,214
Net cash provided by (used in) operating activities       (71,594)         73,027 141,535      
CASH FLOWS FROM INVESTING ACTIVITIES:                          
Net cash provided by (used in) investing activities       (18,383)         (42,929) (64,749)      
CASH FLOWS FROM FINANCING ACTIVITIES:                          
Net cash provided by (used in) financing activities       124,721         35,074 29,830      
Effect of exchange rate changes on Cash and cash equivalents, and Cash segregated under regulatory requirements       (13,496)         (14,286) (6,197)   2,630 (10,838)
Net increase (decrease) in Cash and cash equivalents, and Cash segregated under regulatory requirements       21,248         50,886 100,419   219,336 (380,012)
Cash and cash equivalents, and Cash segregated under regulatory requirements at beginning of period $ 736,533 687,000 657,362 636,114       416,778 636,114 636,114 $ 636,114 416,778 796,790
Cash and cash equivalents, and Cash segregated under regulatory requirements at end of period   736,533 687,000 657,362 636,114       687,000 736,533   $ 636,114 $ 416,778
Adjustments [Member]                          
CASH FLOWS FROM OPERATING ACTIVITIES:                          
Consolidated net income (loss)   $ (15,026) $ (286) (863) $ (6,919) $ (4,113) $ 542 $ (2,200) (1,149) (16,175)      
Adjustments to reconcile consolidated net income (loss) to net cash provided by (used in) operating activities:                          
Impairment of fixed assets, intangible assets and investments                 147        
Deferred tax provision (benefit)       1,900         1,900 8,000      
Consolidated net income (loss), adjusted for non-cash and non-operating items       1,037         898 (8,175)      
Decrease (increase) in operating assets:                          
Accrued commissions receivable, net       (900)         (900) (900)      
Other assets       (15,626)         (6,808) (317)      
Increase (decrease) in operating liabilities:                          
Accounts payable, accrued and other liabilities       $ 15,489         $ 6,810 $ 9,392